D. V. Avelar

activity

20222025

collaborators

3 papers

math.GR2025

On minimal product-one sequences of maximal length over the non-abelian group of order $pq$

Danilo Vilela Avelar, Fabio Enrique Brochero Martínez, Sávio Ribas

Let $G$ be a finite group. A sequence over $G$ is a finite multiset of elements of $G$ , and it is called product-one if its terms can be ordered so that their product is the identi…

math.NT2023

A note on Bass' conjecture

Danilo Vilela Avelar, Fabio Enrique Brochero Martínez, Sávio Ribas

For a finite group $G$ , we denote by $d (G)$ and by $E (G)$ , respectively, the small Davenport constant and the Gao constant of $G$ . Let $C_{n}$ be the cyclic group of orde…

math.NT2022

On the direct and inverse zero-sum problems over $C_{n} ⋊_{s} C_{2}$

Danilo Vilela Avelar, Fabio Enrique Brochero Martínez, Sávio Ribas

Let $C_{n}$ be the cyclic group of order $n$ . In this paper, we provide the exact values of some zero-sum constants over $C_{n} ⋊_{s} C_{2}$ where $s \neq \equiv \pm 1 (mod n)$ , namely…

On minimal product-one sequences of maximal length over the non-abelian group of order pq

A note on Bass' conjecture

On the direct and inverse zero-sum problems over Cn​⋊s​C2​

On minimal product-one sequences of maximal length over the non-abelian group of order $pq$

On the direct and inverse zero-sum problems over $C_{n} ⋊_{s} C_{2}$